2.6666 as a Fraction

Answer

The answer for 2.6666 as a fraction will be 8/3.

Explanation

Converting a decimal to a fraction is a task for students that can be done easily. You can follow the steps mentioned below to find the answer.

Step 1: Firstly, identify the repeating part in the decimal. Here, 2.6666... (where 6 repeats) is the number. Let x = 2.6666...

Step 2: Multiply the equation by 10 to shift the decimal point one place to the right, as only one digit is repeating: 10x = 26.6666...

Step 3: Subtract the original equation from the new one to eliminate the repeating part: 10x - x = 26.6666... - 2.6666... 9x = 24

Step 4: Solve for x by dividing both sides by 9: x = 24/9 Simplify the fraction by finding the GCD of 24 and 9, which is 3: 24/9 = 8/3

Thus, 2.6666 can be written as a fraction 8/3.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.

• Repeating Decimal: A decimal fraction in which a figure or group of figures is repeated indefinitely.

• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.

• Denominator: The bottom part of a fraction, showing how many parts make up a whole.